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Uniform approximation by Fourier–Stieltjes coefficients

Published online by Cambridge University Press:  24 October 2008

Donald E. Ramirez
Donald E. Ramirez
Affiliation:
University of Virginia
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Extract

In chapter I, E = {nk} ⊂ Z is shown to be a Sidon set if and only if (**). For each x ∈ T,

.

Let E ⊂ Z+ be a lacunary sequence. In chapter II, it is constructively shown that the characteristic function of E is uniformly approximable by Fourier–Stieltjes coefficients; i.e. ϕE ∈ M(T)∧−.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 615 - 624
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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